Question: Let H be a solid region given by z 2 3:2 + y2 and x2 + y2 + 22 s 6 whose density at any

 Let H be a solid region given by z 2 3:2

Let H be a solid region given by z 2 3:2 + y2 and x2 + y2 + 22 s 6 whose density at any point is given by f(1r,y,Z)= V932 +292+z2 Use spherical coordinates to nd the following. (a) Find the mass of the above region. (b) Find 2, the z coordinate of the center of mass of the above region. (:3 and g are obviously 0, so we don't ask about them)

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